Question 134800: If a square has a diagonal of . What is the length of a side? Found 3 solutions by vleith, stanbon, solver91311:Answer by vleith(2983) (Show Source):
You can put this solution on YOUR website! Use Pythagorean theorem
a^2 + b^2 = c^2
C is the diagonal. Since we have a square, a = b
a^2 + a^2 = (8*sqrt(2))^2
2a^2 = 128
a^2 = 64
a = 8
You can put this solution on YOUR website! If a square has a diagonal of . What is the length of a side?
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Let the side be "x"
EQUATION:
x^2 + x^2 = (8sqrt(2))^2
2x^2 = 64*2
x^2 = 64
x = 8 (each sie is length = 8
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Cheers,
Stan H.
You can put this solution on YOUR website! The diagonal of a square forms an isoceles right triangle with two of the sides. Using Pythagoras, and remembering that the legs of the triangle are the same length, we have , and since , . That means:
(